I don't know why one has to necessarily be better than the other. They are both special in their own way and have their individual strengths and weaknesses. Having seen both in person, I really enjoyed Wishes! and I really enjoyed HEA. Perhaps I'm just too much of a simpleton to understand the artistic intricacies and nuances of a fireworks show. Sometimes I think people can go a little too far down the rabbit hole in their analysis of Disney offerings. I'm not saying there shouldn't be standards or that the standards for Disney shouldn't be higher than your run of the mill amusement park fireworks show but I can't help but roll my eyes at some of the criticisms that get leveled at Disney from time to time.
I suspect some of the issues people have with HEA are:
-Wishes! was the first nighttime Disney show many ever saw and so they will ever have a deep, powerful emotional attachment to it.
-HEA tends to focus a lot more on the Disney Renaissance and Pixar films, whereas Wishes! largely was dedicated to the classics. This could be a generational divide in tastes. I will acknowledge that after the first showing I was slightly disappointed that Mickey nor any of his friends were highlighted at all. As they weren't in OUAT, I was hoping for a least a tip of the hat to them in HEA.
-Wishes! is about the blue fairy magically stepping in and seeing you through to your wish...HEA is about the individual hero overcoming adversity with the help of love and family. Triumph as opposed to a miracle. Some apparently prefer the former to the latter. I'm fine with either.
-HEA's main theme relies heavily on the modern teen pop sound. Wishes! was a little more traditional. Again, another possible generational divide. I don't tend to like modern pop at all and when I first heard the new theme I thought I was going to hate it but I thought it ended up working really well.
I was really glad they added projections to the new show. That was something I thought Wishes! needed to take it to the next level (at least for me). I didn't find them distracting at all. I have a hard time agreeing that the show was too reliant on them either. HEA uses an incredible amount of pyro so its not like they sacrificed fireworks for projections. The overall storyline of the new show works for me too. While I have nothing against Jiminy at all (I wish he was more prominently featured elsewhere in the park), I don't think there is a need for narration throughout. The music and projections tell the story. Finally, in regards to emotional impact of the show, I think that is something deeply personal to each individual. No doubt Wishes! tugged at the heartstrings but when "You'll Be In My Heart" played and I saw the projections of Tarzan and his mom, Carl and Russell, the Incredibles family, etc., I certainly had an emotional response.